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Finding the Third Proportional to 546,994 and 827,795

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Solution

The third proportional to 546,994 and 827,795 is: 1,252,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,994 : 827,795 = 827,795 : x
  2. Step 2: Convert to fraction form
    546,994/827,795 = 827,795/x
  3. Step 3: Cross multiply
    546,994x = 827,795 × 827,795
  4. Step 4: Simplify right side
    546,994x = 685,244,562,025
  5. Step 5: Solve for x
    x = 685,244,562,025/546,994
  6. Step 6: Final answer
    x = 1,252,746.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.